What is the Greatest Common Factor of 34258 and 34271?

Greatest common factor (GCF) of 34258 and 34271 is 1.

GCF(34258,34271) = 1

We will now calculate the prime factors of 34258 and 34271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34258 and 34271.

How to find the GCF of 34258 and 34271?

We will first find the prime factorization of 34258 and 34271. After we will calculate the factors of 34258 and 34271 and find the biggest common factor number .

Step-1: Prime Factorization of 34258

Prime factors of 34258 are 2, 7, 2447. Prime factorization of 34258 in exponential form is:

34258 = 2¹ × 7¹ × 2447¹

Step-2: Prime Factorization of 34271

Prime factors of 34271 are 43, 797. Prime factorization of 34271 in exponential form is:

34271 = 43¹ × 797¹

Step-3: Factors of 34258

List of positive integer factors of 34258 that divides 34258 without a remainder.

1, 2, 7, 14, 2447, 4894, 17129

Step-4: Factors of 34271

List of positive integer factors of 34271 that divides 34258 without a remainder.

1, 43, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34258 and 34271. The biggest common factor number is the GCF number.
So the greatest common factor 34258 and 34271 is 1.

Also check out the Least Common Multiple of 34258 and 34271